Finding the Third Proportional to 512 and 1,312
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Solution
The third proportional to 512 and 1,312 is: 3,362
Step by Step Solution
- Step 1: Write the proportion equation
512 : 1,312 = 1,312 : x - Step 2: Convert to fraction form
512/1,312 = 1,312/x - Step 3: Cross multiply
512x = 1,312 × 1,312 - Step 4: Simplify right side
512x = 1,721,344 - Step 5: Solve for x
x = 1,721,344/512 - Step 6: Final answer
x = 3,362
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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.